摘要
利用一种不同的途径来处理一般度量空间中的问题,给出了不用先计算s而保证s=dimHE,0<Hs(E)或Hs(E)<∞的集合E上的近似相似的几何条件,还给出了保证dimBE=dimBE=dimHE的类似的条件。
In this paper, the author discusses a new and different approach to deal with the problems in the generic metric space. And the author gives some approximate similar geometrical conditions on a set of Hausdorff dimensions that guarantee that the s-dimensional Hausdorff measure is positive or finite without any need to calculate the actual value of s. similarly. And gives conditions that ensure that the Minkowski and Hausdorff dimensions are equal without the need to evaluate them.
基金
国家自然科学基金资助项目(No.10375027)
